Elitist Ant System with 2-opt Local Search for the Traveling Salesman Problem

The Traveling Salesman Problem is one of the most famous problems in combinatorial optimization. The paper presents an algorithm based upon the elitist ant system for solving the traveling salesman problem. 2-opt local search is incorporated in the elitist ant system, and it is used for improvemen...

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Main Authors: MARTINOVIC, G., BAJER, D.
Format: Article
Language:English
Published: Stefan cel Mare University of Suceava 2012-02-01
Series:Advances in Electrical and Computer Engineering
Subjects:
Online Access:http://dx.doi.org/10.4316/AECE.2012.01005
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author MARTINOVIC, G.
BAJER, D.
author_facet MARTINOVIC, G.
BAJER, D.
author_sort MARTINOVIC, G.
collection DOAJ
description The Traveling Salesman Problem is one of the most famous problems in combinatorial optimization. The paper presents an algorithm based upon the elitist ant system for solving the traveling salesman problem. 2-opt local search is incorporated in the elitist ant system, and it is used for improvement of a given number of solutions previously constructed by artificial ants. A simple mechanism for avoiding a too early stagnation of the search is also proposed. The aforementioned is based on depositing strong pheromones on solution edges of randomly selected ants called random elitist ants. The aim is to encourage exploration in a greater area of the solution space. Experimental analysis shows how high-quality solutions can be achieved by using the considered algorithm instead of the usual elitist ant system with incorporated 2-opt local search.
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spelling doaj.art-eee42fab9cf34de48276f699807d72f92022-12-22T00:34:21ZengStefan cel Mare University of SuceavaAdvances in Electrical and Computer Engineering1582-74451844-76002012-02-01121253210.4316/AECE.2012.01005Elitist Ant System with 2-opt Local Search for the Traveling Salesman ProblemMARTINOVIC, G.BAJER, D.The Traveling Salesman Problem is one of the most famous problems in combinatorial optimization. The paper presents an algorithm based upon the elitist ant system for solving the traveling salesman problem. 2-opt local search is incorporated in the elitist ant system, and it is used for improvement of a given number of solutions previously constructed by artificial ants. A simple mechanism for avoiding a too early stagnation of the search is also proposed. The aforementioned is based on depositing strong pheromones on solution edges of randomly selected ants called random elitist ants. The aim is to encourage exploration in a greater area of the solution space. Experimental analysis shows how high-quality solutions can be achieved by using the considered algorithm instead of the usual elitist ant system with incorporated 2-opt local search.http://dx.doi.org/10.4316/AECE.2012.010052-opt algorithmelitist ant systemlocal searchTraveling Salesman Problemsearch stagnation
spellingShingle MARTINOVIC, G.
BAJER, D.
Elitist Ant System with 2-opt Local Search for the Traveling Salesman Problem
Advances in Electrical and Computer Engineering
2-opt algorithm
elitist ant system
local search
Traveling Salesman Problem
search stagnation
title Elitist Ant System with 2-opt Local Search for the Traveling Salesman Problem
title_full Elitist Ant System with 2-opt Local Search for the Traveling Salesman Problem
title_fullStr Elitist Ant System with 2-opt Local Search for the Traveling Salesman Problem
title_full_unstemmed Elitist Ant System with 2-opt Local Search for the Traveling Salesman Problem
title_short Elitist Ant System with 2-opt Local Search for the Traveling Salesman Problem
title_sort elitist ant system with 2 opt local search for the traveling salesman problem
topic 2-opt algorithm
elitist ant system
local search
Traveling Salesman Problem
search stagnation
url http://dx.doi.org/10.4316/AECE.2012.01005
work_keys_str_mv AT martinovicg elitistantsystemwith2optlocalsearchforthetravelingsalesmanproblem
AT bajerd elitistantsystemwith2optlocalsearchforthetravelingsalesmanproblem